Improved evidence for a 3x10(6) M(circle dot) black hole in M32: Canada-France-Hawaii Telescope spectroscopy with FWHM=0''47 resolution

We present improved spectroscopy of M32 with the Canada-France-Hawaii Telescope and Subarcsecond Imaging Spectrograph. Tip-tilt guiding provides a resolution of FWHM = 0''.47 or sigma* = 0''.20 (sigma* = Gaussian dispersion radius of the point-spread function). The observed central velocity dispersion, sigma similar or equal to 92 +/- 5 km s(-1), and the maximum rotation velocity, V-max = 55 +/- 3 km s(-1), are larger than at lower resolution. In addition, the measured line-of-sight velocity distributions indicate the possible presence of broad wings at radii r less than or similar to 0''.2, with significant numbers of stars at Delta V similar or equal to 200 km s(-1) from the mean velocity. Two-integral dynamical models fit these data provided that M32 contains a central dark object, probably a black hole, of mass M(.) similar or equal to (3.0 +/- 0.5) x 10(6) M(.). This confirms detections based on lower resolution spectra by Tonry, Dressier, Richstone, van der Marel, Dehnen, and collaborators. The available spatial resolution has now improved by a factor of 3 since Tonry's discovery observations; each improvement in resolution has strengthened the case for a black hole in M32.